Generalized K-T conditions and penalty functions for quasidifferentiable programming |
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Authors: | Yin Hongyou Xu Chengxian |
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Institution: | (1) School of Science, Xi’an Jiaotong Univ., 710049 Xi’an |
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Abstract: | In this paper, a quasidifferentiable programming problem with inequality constraints is considered. First, a general form
of optimality conditions for this problem is given, which contains the results of Luderer, Kuntz and Scholtes. Next, a new
generalized K-T condition is derived. The new optimality condition doesn’t use Luderer’s regularity assumption and its Lagrangian
multipliers don’t depend on the particular elements in the superdifferentials of the object function and constraint functions.
Finally, a penalty function for the problem is studied. Sufficient conditions of the penalty function attaining a global minimum
are obtained. |
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Keywords: | 49K30 90C30 |
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